122312101331033 has 2 divisors, whose sum is σ = 122312101331034. Its totient is φ = 122312101331032.

The previous prime is 122312101331029. The next prime is 122312101331039. The reversal of 122312101331033 is 330133101213221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 111742404605584 + 10569696725449 = 10570828^2 + 3251107^2 .

It is a cyclic number.

It is not a de Polignac number, because 122312101331033 - 2² = 122312101331029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122312101330993 and 122312101331011.

It is not a weakly prime, because it can be changed into another prime (122312101331039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61156050665516 + 61156050665517.

It is an arithmetic number, because the mean of its divisors is an integer number (61156050665517).

Almost surely, 2^{122312101331033} is an apocalyptic number.

It is an amenable number.

122312101331033 is a deficient number, since it is larger than the sum of its proper divisors (1).

122312101331033 is an equidigital number, since it uses as much as digits as its factorization.

122312101331033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 122312101331033 its reverse (330133101213221), we get a palindrome (452445202544254).

The spelling of 122312101331033 in words is "one hundred twenty-two trillion, three hundred twelve billion, one hundred one million, three hundred thirty-one thousand, thirty-three".